AMBIGUITY FUNCTION IN SOBOLEV SPACE
Tian Guji · Journal of Mathematics · 2005
Along the line of Qi , we discuss the properties of ambiguity function under the frame of Sobolev space in three cases: (i) Hs-H -s, (ii) Hs-Hs, (iii) H -s-H -s. Using Hermite functions as orthogonal basis to decompose L2-functions and introducing the fundamental symbol of PsDO to change Hs-functions to L2-functions, we obtain similar frames and results to the ones as in .